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Which is equivalent to 4√9^(1/2)x

9^2x
9^(1/8)x
√9^x
6√9^x

Which is equivalent to 4√9^(1/2)x 9^2x 9^(1/8)x √9^x 6√9^x-example-1

1 Answer

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Answer

B.
9^{(1)/(8)x}

Step-by-step explanation

To simplify the expression:


\sqrt[4]{9\,} ^{(1)/(2)x}

First, we can rewrite the 4th root as the base to the 1/4 power:


9^{\, ((1)/(4)\, \cdot \,(1)/(2)x)}

Then, we can simplify the multiplication within the exponent to get:

B.
\boxed{9^{(1)/(8)x}}

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